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If (2, 0) is a solution of the linear equation 2x + 3y =k then the value of k?
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If (2, 0) is a solution of the linear equation 2x + 3y =k then the val...
Understanding the Problem
When given a linear equation, we can find a specific value of k by substituting known values for x and y. In this case, the equation is 2x + 3y = k, and we know that (2, 0) is a solution. This means x = 2 and y = 0.
Substituting the Values
To find k, substitute the values of x and y into the equation:
- x = 2
- y = 0
Now, plug these values into the equation:
- 2(2) + 3(0) = k
Calculating
Now, calculate the left-hand side:
- 2(2) = 4
- 3(0) = 0
Add these results together:
- 4 + 0 = k
Thus, we find that:
- k = 4
Conclusion
The value of k when (2, 0) is a solution of the equation 2x + 3y = k is:
- k = 4
This demonstrates how substituting known values into a linear equation can help determine unknown constants.
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